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Finding the Third Proportional to 19,994 and 29,343

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Solution

The third proportional to 19,994 and 29,343 is: 43,063.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,994 : 29,343 = 29,343 : x
  2. Step 2: Convert to fraction form
    19,994/29,343 = 29,343/x
  3. Step 3: Cross multiply
    19,994x = 29,343 × 29,343
  4. Step 4: Simplify right side
    19,994x = 861,011,649
  5. Step 5: Solve for x
    x = 861,011,649/19,994
  6. Step 6: Final answer
    x = 43,063.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.